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How does mass affect the moment of inertia in angular momentum?
Wiki User
∙ 11y ago
Using classical mechanics
Let Angular momentum (L), Linear momentum (P), Perpendicular distance to linear momentum from the relevant axis (r), and moment of inertia (I), velocity (v), mass (m), then
L= P * r
L= (mv)*r --------(1)
Also let, I= mr^2 ; (for a simple situation like particle rotate around an axis)
r= Sqrt (I/m) ; (Sqrt = Square root)
substituting into equation (1)
L = mv Sqrt(I/m)
L= v* Sqrt (I*m)
Wiki User
∙ 11y ago
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What is ment by angular momentum and angular velocity?
Angular velocity means how fast something rotates. The exact definition of angular momentum is a bit more complicated, but it is the rotational equivalent of linear momentum. It is the product of moment of inertia and angular speed.
Why is angular momentum of a body is equal to the product of its moment of inertia and angular velocity?
Angular momentum about the axis of rotation is the moment of linear momentum about the axis. Linear momentum is mv ie product of mass and linear velocity. To get the moment of momentum we multiply mv by r, r the radius vector ie the distance right from the point to the momentum vector. So angular momentum = mv x r But we know v = rw, so angular momentum L = mr2 x w (w-angular velocity) mr2 is nothing but the moment of inertia of the moving body about the axis of rotation. Hence L = I w.
How does mass affect angular momentum?
Short answer: Angular momentum is proportional to mass. If you double the mass of an object, you double its angular momentum.Long Answer:Angular Momentum is a characteristic of rotating bodies that is basically analogue to linear momentum for bodies moving in a straight line.It has a more complex definition. Relative to an origin, one obtains the position of the object, the vector r and the momentum of the object, the vector p, and then the angular momentum is the vector cross product, L.L=r X p.Since linear momentum, p=mv, is proportional to mass, so is angular momentum.Sometimes we speak of the angular momentum about the center of mass of an object, in which case one must add all of the bits of angular momentum for all the bits of mass at all the positions in the object. That is easiest using calculus.It should also be said that the moment of inertia, I, is proportional to mass and another way to express angular momentum is the moment of inertia times the angular velocity.
Which component of linear momentum does not contribute to angular momentum?
Angular momentum is defined as the moment of linear momentum about an axis. So if the component of linear momentum is along the radius vector then its moment will be zero. So radial component will not contribute to angular momentum
What is momentam?
The moment of linear momentum is called angular momentum. or The vector product of position vector and linear momentum is called angular momentum.
What is ment by angular momentum and angular velocity?
Angular velocity means how fast something rotates. The exact definition of angular momentum is a bit more complicated, but it is the rotational equivalent of linear momentum. It is the product of moment of inertia and angular speed.
Why is angular momentum of a body is equal to the product of its moment of inertia and angular velocity?
Angular momentum about the axis of rotation is the moment of linear momentum about the axis. Linear momentum is mv ie product of mass and linear velocity. To get the moment of momentum we multiply mv by r, r the radius vector ie the distance right from the point to the momentum vector. So angular momentum = mv x r But we know v = rw, so angular momentum L = mr2 x w (w-angular velocity) mr2 is nothing but the moment of inertia of the moving body about the axis of rotation. Hence L = I w.
Is angular momentum always parallel to angular acceleration?
momentum is product of moment of inertia and angular velocity. There is always a 90 degree phase difference between velocity and acceleration vector in circular motion therefore angular momentum and acceleration can never be parallel
How does mass affect angular momentum?
Short answer: Angular momentum is proportional to mass. If you double the mass of an object, you double its angular momentum.Long Answer:Angular Momentum is a characteristic of rotating bodies that is basically analogue to linear momentum for bodies moving in a straight line.It has a more complex definition. Relative to an origin, one obtains the position of the object, the vector r and the momentum of the object, the vector p, and then the angular momentum is the vector cross product, L.L=r X p.Since linear momentum, p=mv, is proportional to mass, so is angular momentum.Sometimes we speak of the angular momentum about the center of mass of an object, in which case one must add all of the bits of angular momentum for all the bits of mass at all the positions in the object. That is easiest using calculus.It should also be said that the moment of inertia, I, is proportional to mass and another way to express angular momentum is the moment of inertia times the angular velocity.
Which component of linear momentum does not contribute to angular momentum?
Angular momentum is defined as the moment of linear momentum about an axis. So if the component of linear momentum is along the radius vector then its moment will be zero. So radial component will not contribute to angular momentum
What is momentam?
The moment of linear momentum is called angular momentum. or The vector product of position vector and linear momentum is called angular momentum.
What quantities are needed to calculate angular momentum?
"Rate of change" means that you divide something by time ("per unit time" or "per second"), so you would use the units of angular momentum, divided by seconds.I am not aware of any special name for this concept.
How magnetic moment of electron is associated with angular momentum of electron?
magnetic moment of a particle is due to its motion around some other orbits or about its own orbit i.e due to its orbital angular momentum or its spin angular momentum.
What is angular mementum?
Angular momentum is the moment of momentum, a conserved vector quantity used to state the overall condition of a physical system.
If a trapeze artist rotates twice each second while sailing through the air and contracts to reduce her rotational inertia to three-fourths how many rotations per second will result?
Well, the only thing you really have to do is take how many times she rotates before the reduction in the distribution of mass and times it by the reciprocal of the fraction they give you. So, just take 2 times 4/3 and you get 2.67 rps.
What is angular momentum?
Angular momentum is an expression of an objects mass and rotational speed. Momentem is the velocity of an object times its mass, or how fast something is moving times how much it weighs. Therefore angular momentum is the objects mass times the angular velocity where angular velocity is how fast something is rotating expressed in terms like revolutions per minute or radians per second or degrees per second.
What is the direction of angular momentum?
Angular momentum of a rotating particle is defined as the moment of the linear momentum of the particle about that axis.It is perpendicular to the plane of rotation and parallel to the axis of rotation.
